{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from keras.models import Sequential\n",
    "from keras.optimizers import Adam\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from keras.layers import Dense, Dropout, LSTM\n",
    "import pandas as pd\n",
    "import quandl\n",
    "import numpy as np\n",
    "from datetime import date"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 数据集中有多个变量\n",
    "* 日期（Date）\n",
    "* 开盘价(Open)\n",
    "* 最高价(High)\n",
    "* 最低价(Low)\n",
    "* 收盘价(Close)\n",
    "* 总交易额(Volume)\n",
    "* 营业额(turnover)\n",
    "\n",
    "\n",
    "### 变量科普\n",
    "* 开盘价和收盘价代表股票在某一天交易的起始价和最终价。\n",
    "* 最高价、最低价和最后交易价表示当天股票的最高价、最低价和最后交易价格。\n",
    "* 交易总量是指当天买卖的股票数量，而营业额(Lacs)是指某一特定公司在某一特定日期的营业额。要注意的另一点是，市场在周末和公共假期休市\n",
    "\n",
    "* 损益的计算通常由股票当日的收盘价决定，因此我们将收盘价作为目标变量。让我们画出目标变量来理解它在我们的数据集中的分布\n",
    "* 注意上表缺失了一些日期值为法定节假日。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3424, 12)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>Ex-Dividend</th>\n",
       "      <th>Split Ratio</th>\n",
       "      <th>Adj. Open</th>\n",
       "      <th>Adj. High</th>\n",
       "      <th>Adj. Low</th>\n",
       "      <th>Adj. Close</th>\n",
       "      <th>Adj. Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>2004-08-19</td>\n",
       "      <td>100.01</td>\n",
       "      <td>104.06</td>\n",
       "      <td>95.96</td>\n",
       "      <td>100.335</td>\n",
       "      <td>44659000.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>50.159839</td>\n",
       "      <td>52.191109</td>\n",
       "      <td>48.128568</td>\n",
       "      <td>50.322842</td>\n",
       "      <td>44659000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2004-08-20</td>\n",
       "      <td>101.01</td>\n",
       "      <td>109.08</td>\n",
       "      <td>100.50</td>\n",
       "      <td>108.310</td>\n",
       "      <td>22834300.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>50.661387</td>\n",
       "      <td>54.708881</td>\n",
       "      <td>50.405597</td>\n",
       "      <td>54.322689</td>\n",
       "      <td>22834300.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2004-08-23</td>\n",
       "      <td>110.76</td>\n",
       "      <td>113.48</td>\n",
       "      <td>109.05</td>\n",
       "      <td>109.400</td>\n",
       "      <td>18256100.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>55.551482</td>\n",
       "      <td>56.915693</td>\n",
       "      <td>54.693835</td>\n",
       "      <td>54.869377</td>\n",
       "      <td>18256100.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2004-08-24</td>\n",
       "      <td>111.24</td>\n",
       "      <td>111.60</td>\n",
       "      <td>103.57</td>\n",
       "      <td>104.870</td>\n",
       "      <td>15247300.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>55.792225</td>\n",
       "      <td>55.972783</td>\n",
       "      <td>51.945350</td>\n",
       "      <td>52.597363</td>\n",
       "      <td>15247300.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2004-08-25</td>\n",
       "      <td>104.76</td>\n",
       "      <td>108.00</td>\n",
       "      <td>103.88</td>\n",
       "      <td>106.000</td>\n",
       "      <td>9188600.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>52.542193</td>\n",
       "      <td>54.167209</td>\n",
       "      <td>52.100830</td>\n",
       "      <td>53.164113</td>\n",
       "      <td>9188600.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Open    High     Low    Close      Volume  Ex-Dividend  \\\n",
       "Date                                                                   \n",
       "2004-08-19  100.01  104.06   95.96  100.335  44659000.0          0.0   \n",
       "2004-08-20  101.01  109.08  100.50  108.310  22834300.0          0.0   \n",
       "2004-08-23  110.76  113.48  109.05  109.400  18256100.0          0.0   \n",
       "2004-08-24  111.24  111.60  103.57  104.870  15247300.0          0.0   \n",
       "2004-08-25  104.76  108.00  103.88  106.000   9188600.0          0.0   \n",
       "\n",
       "            Split Ratio  Adj. Open  Adj. High   Adj. Low  Adj. Close  \\\n",
       "Date                                                                   \n",
       "2004-08-19          1.0  50.159839  52.191109  48.128568   50.322842   \n",
       "2004-08-20          1.0  50.661387  54.708881  50.405597   54.322689   \n",
       "2004-08-23          1.0  55.551482  56.915693  54.693835   54.869377   \n",
       "2004-08-24          1.0  55.792225  55.972783  51.945350   52.597363   \n",
       "2004-08-25          1.0  52.542193  54.167209  52.100830   53.164113   \n",
       "\n",
       "            Adj. Volume  \n",
       "Date                     \n",
       "2004-08-19   44659000.0  \n",
       "2004-08-20   22834300.0  \n",
       "2004-08-23   18256100.0  \n",
       "2004-08-24   15247300.0  \n",
       "2004-08-25    9188600.0  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "start = date(2000,10,12)\n",
    "end = date.today()\n",
    "google_stock = pd.DataFrame(quandl.get(\"WIKI/GOOGL\", start_date=start, end_date=end))\n",
    "print(google_stock.shape)\n",
    "google_stock.tail()\n",
    "google_stock.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 绘制股市历史收盘价趋势图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 8))\n",
    "plt.plot(google_stock['Close'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 构造训练集与验证集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 时间点长度\n",
    "time_stamp = 50\n",
    "\n",
    "# 划分训练集与验证集\n",
    "google_stock = google_stock[['Open', 'High', 'Low', 'Close', 'Volume']]  #  'Volume'\n",
    "train = google_stock[0:2800 + time_stamp]\n",
    "valid = google_stock[2800 - time_stamp:]\n",
    "\n",
    "# 归一化\n",
    "scaler = MinMaxScaler(feature_range=(0, 1))  \n",
    "scaled_data = scaler.fit_transform(train)\n",
    "x_train, y_train = [], []\n",
    "\n",
    "\n",
    "# 训练集\n",
    "for i in range(time_stamp, len(train)):\n",
    "    x_train.append(scaled_data[i - time_stamp:i])\n",
    "    y_train.append(scaled_data[i, 3])\n",
    "\n",
    "x_train, y_train = np.array(x_train), np.array(y_train)\n",
    "\n",
    "# 验证集\n",
    "scaled_data = scaler.fit_transform(valid)\n",
    "x_valid, y_valid = [], []\n",
    "for i in range(time_stamp, len(valid)):\n",
    "    x_valid.append(scaled_data[i - time_stamp:i])\n",
    "    y_valid.append(scaled_data[i, 3])\n",
    "\n",
    "x_valid, y_valid = np.array(x_valid), np.array(y_valid)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 创建并训练LSTM模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\anaconda\\lib\\site-packages\\ipykernel_launcher.py:8: UserWarning: The `input_dim` and `input_length` arguments in recurrent layers are deprecated. Use `input_shape` instead.\n",
      "  \n",
      "D:\\anaconda\\lib\\site-packages\\ipykernel_launcher.py:8: UserWarning: Update your `LSTM` call to the Keras 2 API: `LSTM(units=100, return_sequences=True, input_shape=(50, 5))`\n",
      "  \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/3\n",
      "2800/2800 [==============================] - 20s 7ms/step - loss: 0.0026\n",
      "Epoch 2/3\n",
      "2800/2800 [==============================] - 19s 7ms/step - loss: 7.5519e-04\n",
      "Epoch 3/3\n",
      "2800/2800 [==============================] - 20s 7ms/step - loss: 5.3940e-04\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.History at 0x1fc5b19d488>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 超参数\n",
    "epochs = 3\n",
    "batch_size = 16\n",
    "# LSTM 参数: return_sequences=True LSTM输出为一个序列。默认为False，输出一个值。\n",
    "# input_dim： 输入单个样本特征值的维度\n",
    "# input_length： 输入的时间点长度\n",
    "model = Sequential()\n",
    "model.add(LSTM(units=100, return_sequences=True, input_dim=x_train.shape[-1], input_length=x_train.shape[1]))\n",
    "model.add(LSTM(units=50))\n",
    "model.add(Dense(1))\n",
    "model.compile(loss='mean_squared_error', optimizer='adam')\n",
    "model.fit(x_train, y_train, epochs=epochs, batch_size=batch_size, verbose=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 预测股市价格"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "182.15262037950467\n",
      "(624, 1)\n",
      "(1, 624)\n"
     ]
    }
   ],
   "source": [
    "closing_price = model.predict(x_valid)\n",
    "scaler.fit_transform(pd.DataFrame(valid['Close'].values))\n",
    "# 反归一化\n",
    "closing_price = scaler.inverse_transform(closing_price)\n",
    "y_valid = scaler.inverse_transform([y_valid])\n",
    "# print(y_valid)\n",
    "# print(closing_price)\n",
    "rms = np.sqrt(np.mean(np.power((y_valid - closing_price), 2)))\n",
    "print(rms)\n",
    "print(closing_price.shape)\n",
    "print(y_valid.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 拟合验证集股市趋势"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 8))\n",
    "dict_data = {\n",
    "    'Predictions': closing_price.reshape(1,-1)[0],\n",
    "    'Close': y_valid[0]\n",
    "}\n",
    "data_pd = pd.DataFrame(dict_data)\n",
    "\n",
    "plt.plot(data_pd[['Close', 'Predictions']])\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
